Virtual Knot 3.1
- This virtual knot is not equivalent to its vertical mirror image.
- This virtual knot is not equivalent to its horizontal mirror image.
- The two mirror images are not equivalent to each other.
- This virtual knot is not equivalent to its inverse.
- Gauss code
- O1-O2-U1-O3+U2-U3+
- PD presentation
- PD[X[2,6,3,1], X[4,1,5,2], X[5,4,6,3]]
- Jones polynomial
- 1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 0.1, 3.7, 4.13, 4.19, 4.26, 4.35, 4.42, 4.46, 4.47, 4.55, 4.56, 4.59, 4.66, 4.67, 4.72, 4.76, 4.77, 4.85, 4.93, 4.96, 4.97, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- q-9/2 + q-7/2 - q-5/2 - 2q-3/2 - 2q-1/2 + q3/2
- - q-21/2 + q-19/2 + 2q-9 + 5q-17/2 + 7q-8 + 14q-15/2 + 14q-7 + 10q-13/2 + 7q-6 - 2q-11/2 - 13q-5 - 26q-9/2 - 33q-4 - 24q-7/2 - 19q-3 - 7q-5/2 + 7q-2 + 11q-3/2 + 21q-1 + 13q-1/2 + 14 + 4q1/2 - q1 + 2q3/2 - q2 - 2q3 + q4
- - q-37/2 + q-35/2 + 5q-33/2 + 17q-31/2 + 37q-29/2 + 78q-27/2 + 130q-25/2 + 179q-23/2 + 184q-21/2 + 106q-19/2 - 59q-17/2 - 252q-15/2 - 391q-13/2 - 398q-11/2 - 276q-9/2 - 95q-7/2 + 71q-5/2 + 159q-3/2 + 185q-1/2 + 157q1/2 + 100q3/2 + 47q5/2 + 11q7/2 - q9/2 - q11/2 - 2q13/2 + q15/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + 1) t-1 + (s-2 + s-1 - 1 - s) + (- s-1 + s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.10, 4.17, 4.19, 4.23, 4.32, 4.35, 4.42, 4.50, 4.57, 4.67, 4.70, 4.79
- Self linking number
- 0